I think you first have to explain how your challenge is meaningful. You could as easily have written this challenge:
Pick an atom, any atom, and using the principles of chemistry start with that atom's earliest combinations with other atoms into molecules and trace its recombinations through time until you arrive at its present state. If you cannot do so then chemistry is unscientific.
Or this one:
Pick a stone, any stone in your backyard, and using the principles of geology trace that stone's changes and movements through time from its initial formation to its presence in your backyard. If you cannot do so then geology is unscientific.
Your challenge is just as invalid as these.
We don't know everything and never will. Where the evidence is gone there is nothing that can be done to bring it back. Principles and theories are derived from existing evidence. To some extent those principles and theories can be used to reconstruct histories for situations where evidence is inadequate or absent.
That there are some things we can never know because the evidence no longer exists is just something we have to accept, but the strength of a theory is a function of its evidentiary support, and not of how much other evidence might have been destroyed or made in some way unavailable.
--Percy